I maxed my contributions to my 403b. Is it okey to contribute to IRA even if not tax deductable?

Answer 1

Yes.

Answer 2

Yes

Answer 3

Form 8606. To designate contributions as nondeductible, you must file Form 8606. (See the filled-in Forms 8606 in this chapter.)
Lines 1,2,3, and 14
You do not have to designate a contribution as nondeductible until you file your tax return. When you file, you can even designate otherwise deductible contributions as nondeductible contributions.

You must file Form 8606 to report nondeductible contributions even if you do not have to file a tax return for the year.

Failure to report nondeductible contributions. If you do not report nondeductible contributions, all of the contributions to your traditional IRA will be treated as deductible. All distributions from your IRA will be taxed unless you can show, with satisfactory evidence, that nondeductible contributions were made.

Penalty for overstatement. If you overstate the amount of nondeductible contributions on your Form 8606 for any tax year, you must pay a penalty of $100 for each overstatement, unless it was due to reasonable cause.

Penalty for failure to file Form 8606. You will have to pay a $50 penalty if you do not file a required Form 8606, unless you can prove that the failure was due to reasonable cause.

Tax on earnings on nondeductible contributions. As long as contributions are within the contribution limits, none of the earnings or gains on contributions (deductible or nondeductible) will be taxed until they are distributed.

Publication 590
http://www.irs.gov/publications/p590/ch01.html#d0e2675

Worksheet 1-2 page 17
http://www.irs.gov/pub/irs-pdf/p590.pdf

Answer 4

Sure