Can I get a mortgage with a poor credit rating?

My partner and I are looking to buy our first house. I have a poor credit rating from when I was illl 5 years ago and had quite a few late payments.

All of my credit is now paid off, and I have no debt. However I have recently been refused a bank account that I wanted to set up to pay bills from and have also been refused car finance.

My partner and I have a combined income of 45k and are looking for a mortgage of 150k. Is it likely that we will get one, or am I just heading for disappointment.?

My rather has a good credit rating.

Any advice appreciated. Thanks