How many ports are on your system? It seems like the calls with RE-invite all worked, but like the 16th or 17th call had issues with the initial INVITE to establish the call much like a few attempts further down in the flow. I really suspect some other issue is going on here not related to RE-INVITE in this case. Maybe a parse error, or hitting capacity of some sort. As in that case, we see no ACK sent back after 200ok is sent from HMP repeatedly. You may want to check why the end-point of switch is not responding with ACK in that case. . After that its seems some other call attempts are not answered, one or two rejects as well.
This would really require further investigation by the support team if the issue were reported via proper channels (should you have a support contract). Otherwise I can only really provide some basic advice on things to check.
Jeff