Here is a small but interesting set report from today's filming at the sub dock confirming a scene with Sawyer and Kate.
Thanks to Wayfinder for the following details:
Kate and Sawyer were doing a scene together at the end of the dock today at Kualoa Gardens. We watched them for a good 40 minutes, but we were too far away to hear anything. All I can tell you is, it was definitely present day and it was on the island. This is interesting since they supposedly landed in LAX safe and sound.