The bowtie is the white markings on the chest also called the butterfly. Some pet owners like it left long and fluffy (pic 1) which is fine but i like it shaved (pic 2) because its flashier and i want the dog to look very square. Leaving the bowtie fluffy can make them look longer in the body.
The 3 moles are on the each cheeks and under the chin. You will find a big black hard whisker in each mole and can feel the mole on the skin. Most say to only shave up to the mole but when i was in Vegas picking up Tango I went out to breakfast with Joan Huber and she said to stay about 1/4 inch away from the moles so that is what i have been doing now
In 3rd picture the beard was butchered (by a terrier handler) and shaved WAY past the 3 moles so i took a permanent marker and colored the 3 moles and took a picture so i could send it to the butcher asking them to NEVER do this again LOL!!!! I can laugh now but was actually in tears then.
I pic i received of one of my pups all grown up
Norman when he was still young and alot darker
Here is a good link describing how to do the head so it stays rectangle (like a brick) it also shows how shaving too much off the cheek can change the look to more of an hourglasshttp://www.axcium.com/groom_the_miniature_schnauzer_head_correctly.htm
Ive never had an issue with them poking but they are tough lil suckers it might really hurt to pluck them. I think you did the right thing by trimming them short. Id ask your groomer about plucking them.
I just want to say groom your dog the way you personally like it done. We all have different taste. Some like it very low maintenance and practical and others like longer furnishings and are willing to brush and dematt to maintain that look.
If you are grooming yourself, hang in there and if you mess up it will grow back and you will do it a little better each time. The hardest part for most learning to groom their dog is grooming the head properly and scissoring the furnishings without making them look all chopped up and getting the right angles to them. I have no mentors near me and have always wanted to learn how to do show grooming since 1999 when i quit taking mine to the groomers. I have just had to teach myself from pictures and videos and im sure i do 80% all wrong but am still forever learning and trying to improve. I still dont strip but try to groom mine with the correct pattern and scissoring. It really is an art to groom this breed. Ha ha especially when they are wiggle worms on the table!!