The mortgage per month is 1k.

Now that the rehab is complete, there's some equity in the property, and I'm moving in, I can't help but wonder if it's smart to take this time to do something on the side to pay down my mortgage faster or start educating myself on screening tenants and doing my due diligence.

Almost every house I look at has rental rates that would be equal to or less than what the monthly mortgage would be.

Check in with @Joseph Chiofalo for a quick second lender look.

I have read that in some instances, the mortgage company will use its due on sale clause, so that makes me a little hesitant.

Hi Andrew, Many lenders may have a 3-6 month seasoning period.  

Hi AllVery new to the world of real estate investing, so am currently trying to learn as much as possible.The other day I came across mortgage note investing and looked into it further…do these exist in the UK?

Lenders may not qualify it, it's up to them.

I recommend checking with an investor-friendly lender that you won't issues with obtaining a loan on your 3rd and 4th purchase because your DTI (debt-to-income) ratio may become too high. 

I would suggest connecting with a diverse lender for investment property mortgages.