Features Of Microsoft Project Office 365

I have a specific set of requirements that I need for MS Project Office 365.  We are looking at moving to the cloud solution however, I need to know if it will do the following:
 
 
1.       Build detailed Project and Program Schedules with at least the functionality of Project 2010 Pro (what we are using now)

2.       Have an integrated view of resources and dependencies across all programs

a.       The software should be able to identify where resource constraints exist at the group or individual level across all of the Project Schedules in the group.

b.      The software should be able to tie dependencies tasks (even if they have to be manually identified) between Project Schedules to ensure that delivery of the 2 or more project dependencies are aligned in delivery dates

1.       When a dependency task date shifts in one project plan, the system would automatically update the correlating project plan(s) with the new date and flag it as a change.

3.       Collaboration of Program and Project schedules (real time updates).  Similar to the item above in 2c1 but at the Portfolio level I want to be able to see a real time view of all Program and Project Plans in my group

 
Nice to have
The ability to work offline in MS Project (ideally the version we already have) and have it update the online version.