This situation is completely normal. My DDs are exactly 2 yrs apart and initially it was hell when DD2 was little. DD1 would pretend to kiss and cuddle her but would actually pinch, bite and scratch he at every opportunity. Her tantrums were unbelievable and I was losing it. Things that really helped were:
(i) a playpen downstairs (not for DD1 but for DD2), a travel cot would do too. I put a soft fleece and blankets etc in it with a mobile over it and knew I had somewhere safe I could put DD2 where DD1 couldn't reach her if I had to pop out of the room / go to the loo etc. I would also put DD2's carry cot into the playpen when she was napping so that she was safe.
(ii) I did my best to get into a feeding routine. First feed would be at 7am (regardless of sleep the previous night) as I knew that DD1 would usually wake soon after 7.15 and come and get into bed with me so by then the bf would be well underway / nearly over. I also mastered the art of reading books to DD1 while bf so the mornings became quite relaxed - we'd snuggle in bed with me bf DD2 and reading to DD1. I used to often take DD1 to a local drop in centre play place in the mornings so the next bf would be there at around 10 am / 10.30 while DD1 running around having fun (or at home with DD1 watching CBeebies (way too much TV in the early months, but that's life), then DD2 down for a nap followed by lunch and a bit of one on one time with DD1. DD1 down for a nap, get DD2 up and feed her (1.30pm ish) while DD1 asleep. Tea for DD1 at around 5pm and feed DD2 while sitting at the table. Bath them both together at 6pm (DD1 in first, then DD2 put in in a bath support, DD2 out first, dried dressed into bouncy chair, then DD1 out). Stories etc to DD1 while DD2 in bouncy chair. DD1 into bed. BF DD2 then DD2 into bed.
Try not to get too angry about the kicking smacking etc. Remove him, stay calm, say a sharp NO, but don't go on about it. Keep the baby out of his reach, no particular need to try and involve him at this stage if he resents it. Once she is a bit older and smiling he will start to show more of an interest. Babies sleep a lot in the day, try to make the effort to spend time with him on his own when she's asleep rather than using the time to catch up on the million and one chores (let them slide). Don't worry if he watches too much TV - This is a brief stage - in a few months you'll be through it, do what you can to get by in the mean time.
DD1 and DD2 are a complete little team now (aged 5 and 3), love each other to bits and play beautifully most of the time (when not trying to kill each other obviously!).
The eldest child seems SO big compared to the baby and it's hard to keep perspective that they are still just a baby too. I remember when DD2 turned 2 I thought back to how much I had expected of her sister at the same age whereas I still saw DD2 as a baby, it brought me up sharp a bit - my expectations had been WAY too high for DD1.