Mesothelin-Targeted Immunotoxin LMB-100 Alone or in Combination With Nab-Paclitaxel in People With Previously Treated Metastatic and/or Locally Advanced Pancreatic Ductal Adenocarcinoma and Mesothelin Expressing Solid Tumors

* INCLUSION CRITERIA:
* For participants who will be receiving nab-paclitaxel (all arms except Phase I Arm B Single Agent Lead-in)

  * Histologically confirmed recurrent, advanced or metastatic pancreatic ductal adenocarcinoma as determined by National Cancer Institute (NCI) Laboratory of Pathology.
  * No treatment with paclitaxel or nab-paclitaxel within 4 months prior to initiation of study therapy
  * Eastern Cooperative Oncology Group (ECOG) performance status (PS) 0-1.
  * Adequate hematological function: neutrophil count of greater than or equal to 1.0 x 10(9) cells/L, platelet count of greater than or equal to 95,000/microliters, hemoglobin greater than or equal to 9 g/dL
  * Measurable disease as per the Response Evaluation Criteria in Solid Tumors (RECIST) Criteria v 1.1
  * For participants who will NOT receive nab-paclitaxel (Arm B1 Single Agent Lead-in only)
  * Histologically confirmed solid tumor malignancy for which no curative therapy exists with at least 25% of tumor cells expressing mesothelin as determined by NCI Laboratory of Pathology. Determination can be made using archival tumor tissue or fresh biopsy. Subjects with epithelioid mesothelioma and pancreatic adenocarcinoma are automatically eligible and are not required to have this test.
  * ECOG performance status (PS) 0-2.
  * Adequate hematological function: neutrophil count of greater than or equal to 1.0 x 10(9) cells/L, platelet count of greater than or equal to 85,000/microliters, hemoglobin greater than or equal to 8.5 g/dL
  * Measurable and/or evaluable disease as per the RECIST Criteria v 1.1
* For all arms of the protocol

  * Participants must have received at least one prior chemotherapy regimen for their disease.
  * Age greater than or equal to 18 years. Because no dosing or adverse event data are currently available on the use of LMB-100 in combination with nab-paclitaxel in persons \<18 years of age, children are excluded from this study.
  * Participants must be more than 14 days removed from most recent minor surgical procedure (such as biliary stenting), 28 days from most recent major surgical procedure, 14 days removed from most recent radiation therapy, chemotherapy or experimental drug treatment with published half-life known to be 72 hours or less and 28 days removed from last experimental drug treatment with unpublished or half-life greater than 72 hours.
  * All acute toxic effects of any prior radiotherapy, chemotherapy, experimental drug treatment or surgical procedure must have resolved to Grade less than or equal to 1, except alopecia (any grade) and peripheral neuropathy.
  * Serum albumin greater than or equal to 2.5 mg/dL without intravenous supplementation
  * Adequate liver function: Bilirubin, aspartate aminotransferase (AST) and alanine aminotransferase (ALT) \< 2.5 x upper limit of normal (ULN). AST and ALT up to 5x ULN is permitted for patients with liver metastases.
  * Adequate renal function: creatinine clearance greater than or equal to 50 mL/min.
  * Must have left ventricular ejection fraction \> 50%
  * Must have an ambulatory oxygen saturation of \> 88% on room air
  * The effects of LMB-100 alone or in combination with nab-paclitaxel on the developing human fetus are unknown. For this reason women of child-bearing potential and men must agree to use adequate contraception (hormonal or barrier method of birth control; abstinence) prior to study entry until 3 months the last dose of study therapy. Should a woman become pregnant or suspect she is pregnant while she or her partner is participating in this study, she should inform her treating physician immediately.
  * Ability of participant to understand and the willingness to sign a written informed consent document.

EXCLUSION CRITERIA:

* Exclusion criteria for all study arms

  * Known or clinically suspected central nervous system (CNS) 2.1.2.1 primary tumors or metastases including leptomeningeal metastases. History or clinical evidence of CNS metastases unless they have been previously treated, are asymptomatic, and have had no requirement for steroids or enzyme-inducing anticonvulsants in the last 14 days.
  * Evidence of significant, uncontrolled concomitant diseases which could affect compliance with the protocol or interpretation of results, including significant pulmonary disease other than that related to the primary cancer, uncontrolled diabetes mellitus, and/or significant cardiovascular disease (such as New York Heart Association Class III or IV cardiac disease, myocardial infarction within the last 6 months, unstable arrhythmias, unstable angina, or clinically significant pericardial effusion)
  * Any known diagnoses, metabolic dysfunction, physical examination finding, or clinical laboratory finding giving reasonable suspicion of a disease or condition (other than pancreatic adenocarcinoma) that would contraindicate the use of an investigational drug, interfere with tumor measurement or lead to an expected life expectancy of less than 6 months as judged by the investigator
  * Active or uncontrolled infections.
  * Live attenuated vaccinations within 14 days prior to treatment
  * Dementia or altered mental status that would prohibit informed consent
  * Pregnant women are excluded from this study because the effects of LMB-100 on the developing fetus are unknown and may have the potential to cause teratogenic or abortifacient effects. Because there is an unknown but potential risk for adverse events in nursing infants secondary to treatment of the mother with LMB-100, breastfeeding should be discontinued if the mother is treated with LMB-100. These potential risks may also apply to other agents used in this study.
  * Known hypersensitivity to any of the components of LMB-100
  * Baseline corrected QT interval by Fridericia (QTcF) interval of \> 470 ms, participants with baseline resting bradycardia \< 45 beats per minute, or baseline resting tachycardia\> 100 beats per minute.
* Exclusion criteria specific to patients who will be receiving nab-paclitaxel (all arms except Arm B1 Single Agent Lead-in)

  * Participants with contra-indication and/or history of severe hypersensitivity reactions to nab-paclitaxel
  * Participants with baseline peripheral neuropathy greater than grade 2
  * Human immunodeficiency virus (HIV) or active hepatitis B virus (HBV) or hepatitis C virus (HCV) infection due to risk of progression while receiving immunosuppressive chemotherapy