What is RRCConnectionReestablishmentReject in LTE?

It is the downlink LTE RRC message the network sends when the re-establishment attempt is not accepted.

What usually comes after RRCConnectionReestablishmentReject?

The UE usually moves into a fresh access path or another fallback behavior.

What should I inspect first in RRCConnectionReestablishmentReject?

Start with the earlier failure context and then follow the fallback path that comes after the reject.

Does the reject carry a detailed cause?

No. The message is structurally small, so the useful clues come from the wider procedure context.