Okay, first your "squeal". This is feedback from the reciver speaker getting back into the microphone (just like the sound checks at rock concerts). The SX-101A receiver needs to be "muted" when the HT-32A is transmitting. Check the interconnection cables between your HT-32A and SX-101A (loose wire?, plug your forgot to conencted?).
The HT-32A manual has the correct interconnection diagrams for the SX-101A. If you do not have the manual, go to the Boat Anchor Manual Archive, Al Parker, W8UT donated a copy of the HT-32A manual to the archive.
This page has all of the interconnections between the HT-32A and SX-101A for proper operation can be found at:http://ftp://bama.sbc.edu/downloads/hallicra/ht32a/ht32a04a.tif
The external antenna relay referenced in the diagrams is usually a DOW KEY Antenna Relay with 110 VAC or 12 VDC coil (if you do not have one, new ones can be obtained from many amateur dealers or DowKey directly)
Your "Low output" report, since the HT-32A is a tube transmitter, you should have all of the tubes checked on a good tube tester.
Again, using a dummy load and a reliable RF/SWR meter check overall output on a few bands (80 meters, 10 meters) Final tubes can exhibit lower output at the higher frequencies (10 meters) as they "age"