I Love My iPhone, BUT.....

How much time do you have???, because this post could be enormous!
I have a laundry list of complaints, and I don't even consider myself to be that "tech savvy".
For starters: the short battery life. Nick and I are constantly fighting over which of our phones gets to be connected to the main charger in our kitchen. Yes, we have more than one charger, but the one in the kitchen is the most conveniently placed, hence its popularity.

Auto correct (for text messages and emails) drives me crazy. It takes more time, than it's worth. 9 times out of 10, it picks a different word than the one I am looking for, then I have to go back and erase the entire word and start over again.

I would love it if the phone had arrows/scrolling features. It is often a pain to put your cursor where you want it, in both text messages, and on the internet.

But my biggest complaint, and the reason I am posting is because I want to know (from my brilliant friends out there) if a solution can be found to my ongoing headache.
I am convinced that the creators/designers of my little iPhone 3G, do not have any children. If they did, my problem wouldn't exist.

I know I have mentioned, in the past, that Reagan is very adept at using our phones. On my phone, in particular, I would say that 2/3rds of my apps are really hers. I, personally, don't need alphabet flash cards, or baby TV.
I am not going to outlaw Reagan from using my phone because I feel that it is educationally helpful for her, and it has been a lifesaver (for me) to keep her occupied when we are in places where she needs to behave (think: out to dinner).

While Reagan can navigate my phone like nobodies business, she doesn't always use her "power" benevolently.
Nick and I both experience, on a regular basis: MISSING APPS.
Yes, Reagan deletes apps when she uses the phone. I know she doesn't do it intentionally. But it makes me and Nick crazy because:
a) sometimes we don't even know which apps she has deleted. AND
b) the other times, she deletes apps that we paid for.

So, my question is..... Is there any way to convey my phone to ask for a password before it deletes an app? The same way it does before I purchase an app.
OR, is there somewhere I can go within my phone to see which apps have been deleted?

OR #2- is there some sort of solution to this problem that I haven't even thought of?

Of course, I like my phone, and it does make my life more convenient. Usually.