Yes, TurboTax Deluxe can handle your IRA and retirement accounts. You would receive a Form 1099-R for any withdrawals from your account.
TurboTax Premier would only be necessary if you have other investment sales (i.e. a regular brokerage account and you sold stocks) or rental property (which you already said you don't have).
You should have received a 1099-R for any retirement withdrawals and those would be handled by the Deluxe. As long as the sales of stock were within the retirement account, then they aren't reported as investment sales so you would be fine with Deluxe.
I mentioned stock sales just because you mentioned rental properties so I wanted you to be aware that you would also need Premier if you had other investment sales. So, if you had a regular brokerage account (besides the traditional IRA) and made sales in that account. Then, you would need Premier. Doesn't seem like that applies to you though.