For your first question, see the answer here.
Since your husband’s company offers matching funds for his 401(k), it makes sense to contribute at least enough to earn the full match before investing in your 403(b). But doing both may be a sensible idea. For more information, see the Ask the Advisor section at CTAinvest.org.
Important Note: CTA does not give tax, legal or investment advice. You should meet with your tax, legal, and/or investment advisor to determine the best fit for your situation.