I had a flu shot yesterday and today have soreness and some redness around that area, is this common?

Flu Shot: Flu shot side effects may include: slight swelling, redness or pain at vaccination site. If headache, nausea, fever or muscular pain occur they usually resolve within one to two days. You won't get the flu from a flu shot because the virus either contains inactivated virus or doesn't have virus particles in it. Severe side effects are rare.