You can't run because you haven't been running - vicious circle. It is something that you need to practise.
I'm practically the same age and weight zone as you and I feel awful running 2 miles at the moment - last year I ran 60 miles a week at one point, a sub 4 h marathon and then loads of HMs and 10Ks at decent (for me) ~7 to 7:30 min/mile pace.. now, after 6 months off, i can't even training run at 9 min/mile for 10 minutes without feeling like an octogenarian smoker.
But the one thing I do know is - it *will* get better, it *will* get easier - just keep it up. 3 times a week is enough to improve in leaps and bounds. Just keep it slow to start with. If you think you are at the right pace, you're probably too fast - If I'd have known going to slow down when I started running I'd have been way better than I ever got - I wasted so much time/effort racing every training run for a couple of years until I came on runners world.
Oh - and by the way, my first training run when I started running at the age of about 36, I made it about 1/2 a mile in 6 minutes, then collapsed on the grass verge and gave up... same again the next time, and the next 3/4 mile - 4 months later I completed the Great North Run without stopping and never looked back.
It's less feeling the benefits - its more *not* feeling the muscle soreness/tiredness after a hard session.
If I do a really hard interval session or a race and don't have it in the hour after, the next day I have issues going down stairs, general pain/soreness. If I do have 4-500 Kcals straight after, in the right ratio, the feeling is much much reduced (YMMV).