It should be "are"
My spelling and grammar are
My spelling and my grammar are
They are
Those three segements are equivalents.
For some very odd reason, possessive subjects seem to confuse people when it comes to verb agreement. If a list of items can be consolidated as one single "thing" then sometimes it can operate in a singular form (and I'm trying to think of an example but one escapes me), but usually it's plural.
The grammar issues that I see most frequently online and subsequently irritate the hell out of me:
-Then and than. Then = Condition, Than = Comparison.
-Your and You're. That's just laziness people. You learned compound words in grade 1, for Pete's sake.
-It's and Its. It's = It is, the verb "to be." Its = possessive.
-Affect and effect. Effect = noun. Affect = verb.
-Their, they're, and there. If I need to explain this to anyone they'd best not tell me

-Who and whom... though this is less of an issue in informal English.
-Irregardless. Don't ever do that. Ever.