This is the best news, the IF is working and in order to get those, you'll need to have the 10.240 working too.
You have a heartbeat...
The Pin 9 part - that is the PLL telling the VCO - the "lock" it's supposed to have is not working.
The "High" condition means the PLL isn't "stable" enough to TX - so you'll need to look back at TP3 like you did with RX - you are getting the 455kHz but something is not "releasing" (voltage on Pin 9 on the PLL is one of these indicators) - which would allow RX to get sent thru to the Audio Amp.
That may be where we focus next...
No TX could be a myriad of things...like bad caps. The radio is old enough to show this condition.
What kind of Audio Chip is in this thing? 7222AP (Single row of pins) or a TDA2005 (Dual Row)?
No PA but a TX light tells me the issue is more around the Audio Chip (amp).
When you first turn it on, do you hear any "Thunk" from the speaker?
I'll stop here and let you explore. I have some chores to do, but I'm checking in every so often today.
SIDE NOTE:
If you see a "non-Pb" symbol on the board anywhere, this thing could be Silver soldered, causing a lot of parts that will wet just fine with regular Lead-(Pb) Based solder and work just fine - but will not wet well with silver/antimony metals used in the lead free alloys for soldering. You just may need to reheat and refresh with the lead based solder to get the parts in the radio to reconnect with the traces and solder pads and to start to communicate with each other again.