I have been there! my son is 10 and I just got remarried a few weeks ago to a wonderful man who is a great stepfather. But wow, it is hard when you are effectively the only parent! Especially when the dad 'never sees' any of the bad behavior ( and why should he, when they just hang out a few days out of the month and your kid is smart enough to know not to mess with 'dad-time') and it seems like you are a rotten mom because this is happening to you!!
Deep breath- my son did these same things at the same age but we got through it. I also lost my temper when I didn't want to, was late for work, etc.
1) You need to try and get you and your daughter on the same side. Right now, it is her against you. Whether she is angry about the divorce, mad that you are not home more, or just wants to sleep in, the end result pits you against each other.
One of the first big conversations I had with my son, that I repeated OVER AND OVER is this " We are not always going to agree with each other. We will get mad at each other and sometimes say mean things or lose our tempers. But that NEVER means we don't love each other. We love each other and we always say 'sorry' for losing our tempers."
That mantra continues in our house to this day. You and your daughter need to know that these things are going to happen- but you always love each other, It sounds like she needs this reassurance.
2)The second thing I learned is the 'dog attention' rule. With a dog, there is no 'good attention' or 'bad attention' - only ATTENTION. This is totally true with kids going through a divorce, I think. Your daughter wants attention. From you and her dad. Since he is not there, you are getting the lion's share of her attention-seeking. On a very real level, she does not care if it is 'good' happy attention or 'bad' she -is making-you-mad attention. She just wants you and is acting out any way she can make that happen.
On a practical level, here are some things I did:
1) I got my son his own alarm clock and set it early. He had to get up out of bed to turn it off, which just helped to get him OUT of the bed. Of course you can also do the old 'lay out the clothes the night before, etc' stuff- anything to save time in the morning, but getting up is key. (to encourage you, I will now say that he gets up all on his own about 20 minutes before I do, gets dressed, feeds the dogs and makes his own breakfast most mornings- amazing!)
2) You don't have a choice about day camp, I know. Make sure your daughter understands that. You would much rather be home with her, but you HAVE to work. Point out things around the house that she likes and explain that your work is what earns the money to get them.
Set up some special little treats for her- give her positive reasons to want to get up and get going. Remember- lower the bar, make it easier and more fun, not harder. Decide WITH her if she gets up tomorrow, you will go get ice cream sundaes for supper or set up a play date with a best friend at the swimming pool- but she must get up for day camp the day before for it to happen, Make a yummy special breakfast one morning a week (who can resist maple syrup and pancake smell wafting through the house?) etc. Positive association is the key.
3)My son was always ONLY mean to me, lol. He was so polite- everyone told me he was such a well-behaved child! My mom was visiting and he made the mistake of being mean to me in front of her- and boy did Grandma shut THAT down right away! She took him home from the park and to his room and gave him a serious talking to about how much I loved him and how it was never all right for him to talk to me in that mean way.
my point here is - get help! If you can't get Dad on the same page, get some assistance from anyone else your daughter looks up to or feels secure with and wants approval from. Have Grandma call first thing in the morning for a wake-up call and a report on what your daughter plans for day camp that day! Have her dad call her in the mornings too, if you need to ( at least then he'll see you aren't exaggerating!)
You don't have to do this all alone- I am honestly touched by how many of my SAHM neighbors are willing to help out because they know I work full time. I know it can seem embarrassing to ask for help, but being a martyr about this won't help you or your daughter,
Honestly, this is just going to take TIME. And the homework issue will be the same way when school starts. But she will outgrow this as long as you keep being consistent with how you deal with it. Remember - lower the bar, don't raise it. Make it a good thing to get out of bed, not a fight waiting to happen. Try as hard as you can not to stress out- remember to spend time with your daughter doing something you both love when ever you can and reinforce your love for one another and think of that when she makes you crazy!!
Good luck- message me if I can help you at all!!!