1. How many days should we plan to spend in the park/parks?
I've always been PERFECTLY satisfied with 4 days. This felt like PLENTY of time, especially considering we got SO much done during the early morning hours. Sometimes I felt like the parks were near empty between opening and 10:30 am.
2. Suggest a good resort. I noticed there are the 3 DL resorts and then there are Good Neighbor Resorts. What are they??
This link will list & compare all of the "good neighbor" hotels, by "class" (moderate, superior, etc.)
Disneyland Resort - Detecting Browser Properties . . .
Last year one of my co-workers stayed at the Radison Hotel Maingate and liked it. Although, later on she did mention for what she paid there she could have gotten a deal at Paradise Pier or the Disneyland Hotel for similar. She did say it was REALLY close and the rooms were nice. The only other good neighbor hotels I've seen/been in briefly was the CandyCane Inn (which was adorable, clean, and seemed quiet and intimate to me), and I also got to see the "Jolly Roger" which I think is listed under "economy." Yeah, not sure I'd ever stay at that one, it was a little chincy to me. Not to mention it was A LOT more bustling and loud with children everywhere, compared to what I saw/heard at CandyCane.
But honestly, I am just a Disneyland Hotel fan at heart! Can't beat it, it's the original! 
3. Would the middle/end of June be very crowded or would the crowds be like WDW crowds in middle of May?
Well, this is the only time I DO go to Disneyland. Our trips have varied from right AFTER Memorial Day weekend to the very end of June. We've NEVER experienced "overwhelming" crowds and we were even there for the Pirates Premier last year. The parks are still pretty empty early morning so definately take advantage of that. It got a little busy during late afternoon time but we'd plan trips back to the pool/resort during that part of the day. My only really BIG suggestion for this time of the year is, if AT ALL possible, make your 3 nights during "weekdays." We usually stay Sunday-Wednesday nights or Monday-Thursday & the crowds DO seem significantly lighter. My first two trips to DL were on Friday & Saturdays during late June & they were REALLY busy. We've done weekdays ever seen and have been happy! 
4. Would we have time to see stuff outside of DL if we went for 7 days?
ABSOLUTELY!!!! I took my Dad to Cali for the first time last June. We did DL for 3 nights and then the LA area for 3 more nights... I got him around EVERYWHERE!!