Yes, removable retainers such as an Essix/clear retainer or a metal wire type retainer are usually given to support the whole arch which means it will cover front and back teeth all together.
Since your lower teeth is hitting the upper fixed retainer, it is recommended to remove it and go for a removable retainer for upper teeth.
Next Steps
yes, consult another orthodontist.
I recommend my patients to go for fixed lower retainer along with removable upper and lower retainers.
Health Tips
Retainers are essential for maintaining the teeth in new position, so continue wearing them according to your orthodontist's advice.