CRJ-200 Captain reported failure of stall protection and windshear guidance system inflight with windshear reported at destination airport.

Narrative

Started in ZZZ early in the morning. FO (First Officer) who has his airplane mechanic cert states that during the walk around he saw the right main strut was deflated. I checked it out and it was showing 1/2 inch. I call Maintenance to have it inspected. Maintenance argues on the phone asking if I really want to write that up. I tell them the limitations and say yes. After some delay we push for ZZZ1 with gusty winds forecasted. WS 015/22060kts. Release states ZZZ2 alternate for forecasted windshears.At around 500 ft. we get a stall fail caution. We continue the climb and clean up the aircraft. After cleaning up we do the QRH which states 'Note: Windshear guidance will not be available; Windshear fail status message will appear' we continue the climb and consider our options. Windshear fail status message did not appear but the checklist stated that we would not have guidance. We contacted Dispatch asking for clarification with Maintenance. They answer that yes indeed; we do not have windshear guidance. We start looking at ZZZ1 and the gusty winds. Our filed alternate is ZZZ2 with a similar forecast. Ask if there are windshears in ZZZ1. Dispatch says no. We ask ATC if ZZZ1 is reporting windshears. Center reaches out to ZZZ1 and says yes; ZZZ1 is reporting LLWS. We relay the message to Dispatch.Dispatch comes back saying ZZZ1 is reporting +-15 kts. on final and no windshears. Sounded strange to us. We get handed off to the next Controller and ask him to confirm since the last Controller said there were windshears. It takes them about 10-15 minutes to get back to us and he says: yes we reached out to ZZZ1 Center and they said LLWS. Okay; FO (First Officer) and I talk about the situation and figure we can't go to ZZZ1. We relay the message to Dispatch saying ATC reports LLWS in ZZZ1 again and we are going to divert. Dispatch answers 'I req you continue'. This did not seem safe at all with no stall protection and no windshear guidance. We clearly had conflicting information. We opted to take the safest course and told Dispatch we were diverting to ZZZ3. Advised ATC and used CA (Captain) authority to divert to ZZZ3 which was not our filed alt. Dispatch then sends us an ACARS stating' I have the director of flight and The ZZZ2 ACP (Assistant Chief Pilot) on the phone and we req that you continue'. This blew me away completely. I deliberated for a second about what to do even though we had already turned towards ZZZ3. Decided the safest option was still to divert to ZZZ3. Messaged Dispatch we will talk about it on the ground and we need numbers for ZZZ3. Was worried about getting fired on the spot the whole flight to ZZZ3. I see now that this was probably an emotional reaction. However; this is not something I should be worried about while diverting after having [advised ATC]. Landed safely in ZZZ3. Upon landing and talking to management we did the GPWS test and the GPWS fail status message remained posted on ED2. We swapped planes to go to ZZZ1 but at this point ZZZ1 went into a ground stop due to winds. Windshear advisories were posted in the ATIS at this time. I truly hope this was a misunderstanding between management; dispatch; and the crew. Trust the crews when they say something.