I have a few things to clarify and I'm hoping someone could help

I'm a tier 4 visa holder who's been with a partner (British citizen) for almost three years. We've lived together since June 2013. The apartment is in his name but all the bills, since the start, have been under my name. This is worrying me a little. I was young at the time (19) and didn't consider applying for LR and getting all the 'evidence' ready.
Finance wise, my partner requested for his hours to be reduced in January as he's looking into starting his own cafe. He's going for classes at our local Council. He earns, according to his median wage, 6358/year.
I, on the other hand, bring most of the money into the household. I have a Supervisor position at a cafe and earn 1,040 per month for a 35 hour contract.
Would this be enough to apply for FLR(M)? I called Immigration and asked them about my job, as Tier 4 states that during term time I can only work 20 hrs. They said it's fine to send in a contract and one month's payslip to show that I have a FT contracted job to fulfil the financial requirement.
My question is - are there too many loopholes in our application, especially with me earning more?
Thanks in advance!