Try to read it with your phone, if it is a HF tag you should be able to read it, if not it is a LF tag. There are also other frequencies and tags used for inventory etc but those keyfob thingies usually are LF , since last decade the mifare/desfire/hf tags are starting to get around a bit more, but most home security systems are still stuck on LF tags.
for the remote:
I cannot read the text on the chip but since it only has 8 paws , it does not seem to be a very intelligent rolling code encoder. the round metal thingy containing the crystal for frequency should have the frequency stamped onto it.