probably not. If the F&E is topping up, then bleeding the rads will not let air into them.
You can add a desludger if you want. there might be a sludge blockage.
However, if water is not circulating, the chemical will not circulate to the point of blockage. Only pipes which show signs of getting warm have circulation. You have said that none of the pipes leaving the boiler are warm, so there must be some reason for non-circulation.
If you hold a strong magnet to the copper pipes, it will be attracted at any point where there is a collection of sludge. Blockages most often occur at the point where the Feed pipe Tees onto the main circulating pipes. however, your feed pipe is not blocked (as demonstrated just now).
Since you appear to have a working cold feed; and since you do not appear to have a water shortage, and since the pump is spinning, I don't know the cause of non-circulation. You say the pump is warm. If it was jammed it would be very hot.
Check that all the valves are open, especially any that you have recently touched. Sometimes valves break so that the handle does not operate them.
Look for any signs of electrically operated valves on the pipes. I can't see from your photo what those two things are that you disconnected so a close up photo will help.
In the absence of any other ideas, I think the failure to circulate must be either
1) You have done something wrong when disconnecting the controls
2) by chance, some other problem has occurred shortly after your changes.
You could try reconnecting all the things that you disconnected.
Sometimes pumps fail so that although they spin they do not pump water. I am surprised though that you don't get any gravity feed up any of the pipes. You might take the pump off, test the pump valves, and see if you can see the vanes are not broken and are moving with the spindle (don't run it without water)
I am just guessing now. With luck someone more skilled will think of something. I am just a householder. start asking friends and neighbours for a recommended heating engineer to come and look at it. Buy some electric heaters.