Definitely go with a normal weight rifle unless you are just interested in punching paper.
7-8lb rifle/scope combination is about right for all around use.
For the money Savage guns are hard to beat and they are tack drivers.If I ever purchase another rifle(I have plenty now) it would be the T3.Super nice action.
Any common caliber will work on deer sized game(.308,30-06.,.270 ect.).
I have a real soft spot for the 7MM/08,not much kick and a fine deer killer.
I have two 25/06's and they are very good but ammo is not as available as the others.
My SIL has a Howa in .270;it shoots well but I find it to be a little crude and heavy.