Is it worth it to get flu and tb shots for a temp. job only lasting about 5 months?

I was offered a temporary position working as an IT contractor for a company in Lake Charles, Louisiana. The job is only for 5 months because I'll be filling in for someone who will be on medical leave for that period of time. So there is no possibility that it can turn into a permanent position for me.

The problem is that now I am being told that a flu shot, tb shot and my bank account information (for direct deposit) is needed, along with several other verification processes. I don't have a problem with the background checks but I do have a problem with the shots. Each time I took the flu shot years ago, I got violently ill. But in the 5 years since I haven't taken it, I haven't been sick at all.

I really need to work but is it worth taking the shot for a position that will only be 5 months, with no possibility of becoming permanent? And do I take it knowing that I'll get sick and will have to take a few days off, which I won't be paid for? Also, how do I tell them that I'm comfortable with giving my account information until I've actually been hired, if it is required for the verification process? Please help!!