Help with time mgmt/organization

I am graduating in about 2 weeks as an RN. (If I pass stupid HESI). I am in my last rotation, on an oncology unit. Up until about a month ago, clinicals were more like glorfied tech/CNA positions. Now, I am taking patients on my own with an RN checking medications and guiding me some.

Today I took 3 patients, only one was high acuity. My professor said that she sees I'm having trouble managing my time (I'm too slow with morning medications, in particular) and organization (I missed a medication).

My questions are:

-What is your routine as an RN to ensure your morning meds are timely and accurate?

-When you go into the room to give meds, what other things do you do? Do you asses lung sounds, pulses, check for skin breakdown, etc. or is that something you do after the initial morning rush?

Ex: Today I went into a pts. room with severe MR, contractures, a PEG tube, who was incontinent of bowel and bladder, asphasic and who couldn't follow directions or respond. I gave my meds, checking them again (my teacher said too many times) and noticed he was position weird in the bed, his brief was soaked in urine, the Mepilex to his coccyx with a stage II was also soaked...etc. I wanted to (and did) fix all of those issues then, because it bothers me to leave someone in that shape and because we're taught to cluster care...but was that the time to cluster care?

Thanks!!