EMB ERJ 170/175 ER/LR
Flight Crew Instrument; Flight Crew Multiengine; Flight Crew Air Transport Pilot (ATP)
Time Pressure; Workload; Communication Breakdown
Aircraft Equipment Problem Less Severe; Deviation - Altitude Excursion From Assigned Altitude; Deviation / Discrepancy - Procedural Published Material / Policy; Inflight Event / Encounter Fuel Issue; Inflight Event / Encounter Weather / Turbulence
Air Traffic Control Provided Assistance; Flight Crew Diverted; Flight Crew Overcame Equipment Problem
Weather; Human Factors
On descent we received icing speeds and with strong winds we had a VAP of 163. ATC asked as if we could slow down to 150 kts. which we were not able to do. ATC spaced us too close to a heavy and had to send us around. We were tight on fuel but they vectored us back in so tight that by the time we were cleared we went back through the Final approach course but we got back on final however; ATC sent us around again which had us below our reserve. In the turn automation was behaving incorrectly the Captain (Pilot Flying) disconnected the autopilot. ATC called for 3200 ft. (alt) and a 250 heading. Everything was set up correctly and we were at 3200 ft. and turning to 250. After I announcing to ATC that we had to go to our alternate now and trying to get a hold of our Operations Center and Dispatch to inform them of our intend; ATC called again for 3200 ft. That's when I realized we had descended to 2600 ft. I advised the Captain to climb back up and he corrected. We were heading to ZZZ as our alternate. As we were approaching ZZZZZ intersection which is the on the arrival into ZZZ; we got the word from Dispatch that ZZZ airport couldn't accommodate us with fuel. We had to reprogram the FMS and quickly divert to ZZZ1 instead and landed there safely.It would be great to have an easier way to contact Dispatch rather than texting on the FMS which is time consuming and distracting.Also it would be good to list an alternate airport on our release that if we were to alternate to it; the airport and operation can accommodate us with fuel; [and] water.
EMB-175 First Officer reported a weather diversion that was made more challenging  primarily due to communications issues with Dispatch.