Firstly, the answer to your question is "it does get easier as the kids get older".
From your post I can sense you and your husband are great couples. Having a new baby can put both the mother and father in emotional high or low temporarily. It happens to most people. In your case you have two very young kids and husband working long hours which is definitely not easy on both of you.
It is possible for couples to fall apart in this kinda situation if they do not have strong pre-kid bonding and understanding and most importantly do not try to understand that this is a phase and make necessary adjustments.
Do you have grandparents who you can tap on for some time out? if you do its a good idea to get come over once a week alteast for few hours so that you could go out.
You cant have your old friends who are single or without kids to socialize with you at this point you have to find a group of mothers whom you can socialize with. Find a playgroup, playdate near your house with mothers of your kids age it helps heaps trust me. Set a routine to meet up and get your older kid to play while you chat.
Set a early bed time for your older girl (it may be a little early for the infant though) so that when husband comes home you can get couple time.
I had twins and was taking care of them myself. I did have my mother and mother in law to come and baby sit whenever we wanted to go out. Husband had to work long hours and won't be in for days. All my best friends were singles or couples and I suddenly felt all alone after kids. Here are some of the things I did that kept me sane and sail through the early years.
Routine walk around the neighbourhood park in the afternoons where I met a number of mothers to chat (I'll pack both the babies in twin stroller with all their food tightly packed)
Playdates - once the kids were 1 year old and have made some nice friends.
Early and same bed time for both the kids (by 7pm) since they were 7 months old so that we get an hour or so every night to eat or chat in peace. they still go to bed early so that I have a long evening
Dinner date with husband whenever grand mothers are available to baby sit.
As for your husband spending his free time watching TV, I think he is also overwhelmed by being a parent to two young kids? I know you might have plenty to talk and tell him about your day and for him he might just want to shut everything for a while (this happened to us) why don't you just go cuddle with him while he watches tv? Keep the communication going. Do tell him that you are very happy to be a mother and love your family but need some attention from him whenever time permits. My husband is the kind that I have to tell him exactly what I want he cant read my mind and I have no patience for that so I go straight into the point with him, of course in a non accusing manner haha....
Life got a lot better once I sent them to preschool. They are happy with lots of friends and I work part time and get a lot of time for myself. We still tap on grandma's whenever we want to have couples day/night out. So it does get easy don't worry but meanwhile do something to find friends and talk to your husband. You can private message me if you want to talk anytime. I guess you have a wonderful family....enjoy your motherhood as it is now b/c once the kids are older they are not this cute but they are always lovely.