I'm not a fan of sleep training (except for the no-cry methods advocated by Elizabeth Pantley in the 'No-Cry Sleep Solution'), but even those who advocate it will, I believe, say that it isn't appropriate for babies under 6 months.
The increased feeding at night may be for a variety of factors - a growth spurt, an increase in awareness during the day (so it's more interesting to look around than feed) or other factors related to development. You might want to try encouraging cluster feeding during the evening by sitting in a quieter, darkish room (not guaranteed to work, but worth a try). But otherwise, my best advice is that it is absolutely normal, and it will pass. If you don't have other children, do everything you can to catch up during the day. Co-sleeping (with the safety measures in place) saved my sanity.
I read a great article recently that I wish I'd read before I had my baby.
https://blogs.unicef.org.uk/2016/08/01/ ... -interval/
I preferred not to give formula unless I had to, but a friend did for the 10/11pm feed and that helped her a lot as she got a 5-6 hour stretch, so it may be worth persevering with that (she might take it from dad?) if you need to. I wouldn't advocate early weaning as it is thought to be related to obesity (and the most calorie dense and easily digestible food for an infant is breast milk, followed by formula). Best of luck.