Questions from a Left wing guy (not here to debate)

I've been on the left most of my adult life. I'm nearly 32 and am American. Obviously we historically rejected monarchy and for a while I've written it off as ancient and useless in the modern world. However, lately I've turned my historical senses toward great monarchs and I must say some of them have done better for their people than many elected leaders. Our presidential election and the lack of knowledge I see in voters on both sides also causes me to think that perhaps popular sovereignty is worth questioning if people do not take the time to be knowledgable about how a constitutional republic is suppose to work.

My questions are:

1. How would a (real) monarchy look in the 21st century? I don't mean the celebrities in Buckingham Palace

2. How would a monarchy deal with the issues that have come up over the last century and a half like healthcare, public education, job creation policies, abortion, gay marriage, etc...

3. Are absolutism, hereditary heirs, and state church's still widely supported among monarchists? Those are things I can't see myself supporting but I am still open to hearing opinions. Thanks!