No, TurboTax will not remove deductions you have entered based on your state of residence.
There is not a car registration fee or personal property tax that can be claimed for registering a vehicle in Texas. The other fees you mentioned are also not a tax deduction. If you did enter those as part of your return, then you should revisit that section and delete those entries.
For reference, see the following TurboTax help article to see which states do have a deductible tax or fee related to owning a vehicle in that state:
Is my car registration fee deductible?
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