I put the maximum, for my age, of $7000 into the Roth IRA. Can I claim that as a conversion?
Yes, a rollover from a Traditional 401K to a Roth IRA is considered a conversion.
Maybe, but doublecheck with the IRS requirements to be sure.
Can I roll over my IRA into my retirement plan at work?
You can roll over your IRA into a qualified retirement plan (for example, a 401(k) plan), assuming the retirement plan has language allowing it to accept this type of rollover. Roth IRAs can only be rolled over to another Roth IRA.
Can I roll over my workplace retirement plan account into an IRA?
Almost any type of plan distribution can be rolled over into an IRA except:
For details, see rollovers of retirement plan distributions. Distributions from a designated Roth account can only be rolled over to another designated Roth account or to a Roth IRA.