I own my mobile home and pay lot rent. Is lot rent considered rental payments?

Maybe----but there is no deduction or credit for rent on a federal tax return.   There are some states with such credits, but the laws vary--so it depends on the tax laws in your state.

RENT

There is not a rent deduction or credit on your Federal return.  If your state has anything for renters you will be prompted to enter your rent info when you complete your state return.  As far as I know, the states that have anything for rent are Arizona, California, Connecticut, Hawaii, Indiana, Iowa, Maine, Maryland, Massachusetts, Michigan, Minnesota, Missouri, New Jersey, New York, Rhode Island, Vermont, Washington DC, and Wisconsin.