I know absolutly nothing about the Tektronix 492BP Spectrum Analyser, however if its working on Band 1, then that proves that the majority of the instrument is working (from input to the display). There is very little extra functionality/circuitry employed in the addition of the other bands.
I did look at the manual...
http://www.ko4bb.com/manuals/109.145.77.118/Tek_492_Microwave_Spectrum_Analyzer_Service_Manual.pdfI did notice on .pdf page 7 of 96 (the frequency control section block diagram <7>) that there is a Span Attenuator <35> box in the lower part of the schematic.
This box shows a relay which is closed for Band 1 and which feeds the FM coil+ signal.
If you jump to .pdf page 69 of 96 (the span attenuator <35> schematic) at the RHS you will see relay K4062, the output of which feeds the FM coil+ signal.
Its probabally worth checking that this relay is doing what its supposed to be doing. Well, its a start.
Two more relays to check, in the 1st Converter pdf p13 of 96 <12>. In the top left corner S11 and S12 within OPTION 1.
There are a limited number of baseband checks that you can use, to diagnose the problem.
Ultimately you probably need access to some specialised equipment to investigate the presence/absence of Band 2 signals.
For example, it would be nice to know if you have a LO signal coming from the Output of the 1st and 2nd LO Connectors, just below the CRT (across multiple bands). However, you may not have anything that could indicate the presence of the LO signals?
Further investigation into the Frequency Control Section (p7 of 96 <7>) depends upon what equipment you have access to?
Band Freq Range LO Freq 1st IF
1 0-4.2GHz (2072-6272) 2072MHz
2 1.7-5.5GHz (2529-6329) 829MHz
3 3.0-7.1GHz (2171-6271) 829MHz
4 5.4-18.0GHz (2072-6276) 829MHz
5 15.0-21.0GHz (4309-6309) 2072MHz
Above table extracted from .pdf p14 of 81,
http://www.ko4bb.com/manuals/109.145.77.118/Tek_492_Instruction_Manual-1979.pdf