I once had a similar issue (but not fully the same), alas I forgot how I fixed it.
Some suggestions:
- Any mention of *.0.2 in your host file? FF might read it differently from other programs
- if nothing there perhaps you can add a link to *.0.2 in the host file?
- clear the dns cache etc via ipconfig in a command prompt
- Firefox proxy settings, set something else, close ff, open it again then revert to no proxy
- Disable the FF safebrowsing thing (forgot the name and can't currently check)
- Disable FF secure dns features, don't let firefox choose one nor set a custom one, just put it on isp provided only <- also, use this one in windows tcp/ip settings, not a google one etc.
- is the subnet mask set correctly? If behind a switch and 2nd network/NAT
- make a new empty FF profile and try the adress from there
Percussive maintenance? ;-)
Hope you get it resolved.