Engine Mounts

I replaced the engine Hydromount, transmission mount, and the torque struts all are PHG which is the OEM but without GM Label 😂 but I still have a slight vibration when starting to move and over bumps. Also, when I lift my foot off the gas at low speed and let the car roll, I sometimes feel like the engine moves back and forth, or like there’s some kind of lag between the wheels and the engine/transmission. When I press the gas again, I feel them move as well. There’s also a slight jerk or clunk between shifts (manual), especially from 1st to 2nd and from 2nd to 3rd. As long as I’m on the gas, there’s a vibration in the shifter, and when I lift my foot off the gas, the vibration goes away. Any suggestions?

Daewoo Nubira ii J150 1.6 MT A16DMS 153,XXX KM