The component of Tina's insurance policy that will cover the damages caused to her car in the accident is:

collision.

To determine if Luis is eligible for a loan, let's calculate his maximum allowable monthly housing expense and total debt payments based on the 28/36 ratio:

Monthly housing expense = (Annual income * 0.28) / 12
Maximum total debt payments = (Annual income * 0.36) / 12

Monthly housing expense = (91,500 * 0.28) / 12 = $2,137.50
Maximum total debt payments = (91,500 * 0.36) / 12 = $2,737.50

Luis's mortgage payment is $2,100, which is within the allowable housing expense. However, when we consider his other debt payments, the total exceeds the maximum allowable total debt payments.

Total debt payments = Car payment + Student loan payment + Credit card payment
Total debt payments = $370 + $165 + $45 = $580

Since $580 is higher than the maximum allowable total debt payments of $2,737.50, Luis is not eligible for a loan based on the 28/36 ratio.

Therefore, I would advise Luis to consider the following options:
Option d. Luis is not eligible for a loan; he should reduce his recurring debt.

By reducing his recurring debt, such as paying off or reducing his car loan, student loan, and credit card debt, Luis can lower his total debt payments and increase his eligibility for a home loan in the future. Additionally, he can continue to save for a larger down payment, which can also improve his chances of securing a loan in the future.