04:28:59: Total frames encoded: 469, total frames duplicated: 418 (89.13%)
04:28:59: Number of frames skipped due to encoder lag: 418 (89.13%)
couple it times in the 1st log you posted
in general, depending on your game, 1600x900 with 60 fps should be doable on fast preset maybe not on every game but still the amount of duplicated and skipped frames shouldnt be that high usually you try to stay below 1% on each in some cases up to 3% is okay but ~90% is really bad.
according to the 2nd log with 1600x900 45fps
03:23:54: Total frames encoded: 125, total frames duplicated: 79 (63.20%)
03:23:54: Number of frames skipped due to encoder lag: 78 (62.40%)
+ window and game capture things got better but its still really bad
are you trying to capture a game which has some kind of anti cheat tool?
also make sure to run obs as admin