According to the past few season's rules, you will still be eligible after this. However, the punishment immediately after a 14 day ban is a permanent one, so losing Ranked rewards really isn't what you should be concerned about. You can bring your account back into good standing as you play games and show good behavior, though.
To be more specific about losing Ranked rewards, you lose them for;
- Being banned for MMR Boosting at any point that season (you lose prior rewards too)
- Receiving a ban for negative behavior within 3 months of the season ending
- Having an active chat restriction when the season ends
These are of course last season's rules. They could change, but I think it's unlikely they'll change significantly, if at all.