Air carrier crew reported on departure they experienced EICAS PACK HI PRESS resulting in left pack failure and cabin odor. Air crew then experienced multiple warnings and autopilot failure with rudder deflection. Air crew was able to land safely at an alternate airport.

Narrative

After takeoff; an initial climbing right turn was initiated to heading 315 and 2;000 ft. We completed after takeoff checklist. We then cleared direct ZZZZZ; climb 10;000ft. After passing approximately 5;000 ft; climb checklist started; swapped bleed air source from the APU to main engine bleed air. Roughly 3-5sec after; EICAS message L PACK HI PRESS displayed; Left Pack failed; immediately followed by an odor; not of smoke but of hot components(?) that peaked our our attention. ATC cleared us FL410 and 300 kts or greater; we requested to level at 10;000 to troubleshoot. Following appropriate QRH for L PACK HIGH PRESS; the L Pack was reset and seemed to operate correctly. Not even 30sec later; YD (Yaw Damper) 1 INOP message came up. It was reset it and seemed to hold. Shortly after; L PACK HIGH PRESS failed again with the corresponding hot odor. Following the QRH further down; the L Pack and associated 10th stage valve were secured. YD 1 INOP came back and was unable to hold after being reset. Simultaneously; the autopilot failed. After a few attempts to engage the autopilot; we felt and noticed a substantial right rudder input; indicating nearly a full bar-width left deflection. Rudder trim was manipulated and operated but we lost confidence in it since the massively uncoordinated flight was not due to PF input but an unexplained and possibly un-commanded control input or autopilot trim issue. Without hesitation; the decision was made to [advise ATC] requesting vectors to ZZZ. Setup the visual backed up with ILSXXR; the AP (Autopilot) disconnected again for no apparent reason at 1;500ft on the approach; no attempt to reengage it; hand flown remainder of approach by PF where we made a safe; uneventful landing on XXR; parked at the FBO. No idea as to why the combination of these events occurred. The aircraft had sat in Maintenance for some time.Not entirely sure. This was an unexpected Maintenance issue you can't plan for.