You can activate Jurkat cells using soluble anti-CD3 and irradiated feeder cells (such as PBMC). Alternatively you could probably use anti-CD3/CD28 coated beads, mitogens such as phytohemagglutinin, or pharmacologic agents such as PMA/Ionomycin. Those all work in primary T-cells, I'm not sure if Jurkats would respond differently in any cases.
I don't know if IL-4/IL-5 secretion is maintained in Jurkats but I'm sure you could ELISA the supernatant of stimulated cultures. You could also use the supernatant in a proliferation assay against the cell line CTLL-2 (which is the standard cell line used to measure activity of several cytokines such as IL-2, IL-4, and IL-15)