1. It's not a "tax refund form" it's a tax return. Some people get refunds, some people owe money when they file their tax returns.
2. The name needs to match what the Social Security Administration has on record for you.
You need to change the name on page one of the tax return before you mail it. The IRS is working more at sniffing out identity theft and misspelling a name may well trigger additional steps by the IRS. At the least, expect a delay in getting your refund check. At the worst, you may get a letter from the IRS telling you to prove your identity.
I hope this helps.