Here is how I've tackled admissions. I knew they were coming, so I had made sure the room was ready (did pt need O2? - a concentrator and NC ready to go. Was the pt a trach? All trach equipment in place. Was the patient on continuous feed or needed IV ABX? Pole ready in the room.
When pt arrived, get STAT vitals and assessment. Not charting just obtain the info for you (if the pt is A&O enough to answer questions) Don't ever let the patient just sit there after being dropped off by transport, too many times acute care any us off unstable patients whom we had to promptly send back as we couldn't care for them in our facility.
Quick assessment and vitals shouldn't take you more than 15 mins. If it's 9 pm , return to passing meds/completing tx and tasks you have. Continue checking on the new admit as much as possible, as they often are disoriented since it's a new room, new bed, new call light system etc, and maybe they're in pain.
Now you're back to "completing the paperwork". Start with entering the pt in the system, then calling the MD and verify the med req. Be ready to have all your ducks in a row before calling the on call, just as I'm a regular SBAR. Please read the pt H&P before calling! Too many times I have seen colleguex fumbling with paperwork when asked questions because they weren't ready and wasting a huge amount time on that. After you cleared the med req, proceed with your admission (make a new chart , enter allergies, meds, assessments , etc). STAY organized! Don't leave papers laying all over the desk. Of you start making the chart right away you will know where everything is. ).
I have had situations where I had 30 pts and 2 admission which all came after 9 pm. It's doable. You may have to stay an hour or 2 longer but really of you stay organized and are prepared I'm advance you will be OK.
Best of lack and hugs!! I hope this helps!!