Ever since Nina moved to Nebraska, she has had a lot of problems with
allergies.
Ever since Nina moved to Nebraska, she has been having a lot of
problems with allergies.
Ever since Nina moved to Nebraska, she is having a lot of problems
with allergies.
Starting with the point in time when Nina became a Nebraskan...
... she has had problems with allergies
... she has been having problems with allergies
... she is having problems with allergies
The last one should be replaced with the second one, has been having.
In typical conversation, it would be:
... she's been having