This weather station only (possibly) works with the current test FSK branch of the rtl_433_ESP library already mentioned in
so absolutely no chance of getting it to work with your current setup.
As for the remote I’m not sure which RF protocol it uses, but the RF messages which you correctly receive - either from some other device(s) in your home or from some neighbour’s - show that the RF/ RCSwitch protocol is nicely received/decoded. As for RF2 I am seeing there is
T: disableRF2Receive
in your serial monitor log. Have a read through
or alternatively try the purely RF2 specific
[env:nodemcuv2-rf2-cc1101]
environment, as the RF signals which your are nicely receiving with RF are not of interest to you.