Design your garage with a door tall enough for the tractor to enter with the ROPS up.
If you need to fold the ROPS to enter, you will forget occasionally and bang up the garage trim. That will make your spouse angry. Then you will forget the ROPS again, and she will be livid. Then.......
I suggest a tractor with a bare-tractor weight of 2,600 to 3,000 pounds. In the Kubota product line that would be an L3301 with 33-horsepower or an L3901 with 37.5-horsepower, both on the same chassis. All new tractors in this class come with 4-WD standard and a Three Point Hitch which includes a Power Takeoff (PTO). This is a very popular tractor class and all tractor brands have entrants in this lower-end-of-medium size.
LINK TO KUBOTA WEB SITE:
Compact Tractors | L3301 L3901 L4701 | Kubota Tractor Corporation
To the bare tractor add a Front End Loader (FEL). Think of the Loader as a mobile, articulated wheelbarrow. Loader is also used to move light snow.
Loader buckets often take attachments. A Ratchet Rake attachment would allow you to use the pivoting FEL bucket to back drag debris out of your ditch. Photo #2. It is also good for minor grading. It is the best attachment for tearing out brush and knocking down saplings prior to shredding the horizontal debris with a Rotary Cutter. Industrial tires are usually paired with Loaders, in lieu of standard agricultural tires.
VIDEO:
ratchet rake - YouTube
Consider an extra cost Skid Steer Quick Attach (format) attachment for your bucket-to-FEL link. 'SSQA' adds many options which can be attached directly to the FEL, rather than clamped on the bucket, an indirect mount.
SSQA LINK:
SSQA site:tractorbynet.com - Google Search
A PTO powered Rotary Cutter, sometimes called a slasher and sometimes a Bush Hog, is used for mowing. Light duty R/C can reliably cut up to 1" material, medium duty R/C can reliably cut up to 1-1/2" material and heavy duty R/C can reliably cut up to 2-1/2" to, maybe, 3" material. You will want either a 60" or 72" wide single spindle Rotary Cutter. Wider, dual spindle Rotary Cutters are available.
There are Box Blades, there are Rear/Angle blades, there are Landscape Rakes and there are Land Planes. Pulled by tractors, all are used in dirt/gravel road maintenance.
The cheapest of these implements are Landscape Rakes.
An increment more expensive are Land Planes. Land Planes take the least expertise to operate effectively.
VIDEO:
land plane grading scraper - YouTube
Most expensive are Rear/Angle Blades and Box Blades, which need to be HEAVY per UNIT OF WIDTH in order to cut. Work most effectively with optional hydraulics installed on the tractor. Box Blades and Rear/Angle blades take many hours of experience to operate well. Rear/Angle blades are used for moving heavier snow falls.
Box Blades and Rotary Cutters are the two most common implements used as Three Point Hitch mounted
BALLAST for Loader work. This because they are heavy and because they protrude considerably behind the hitch, leveraging their nominal weight as ballast.
For planting trees you can use a Bucket Spade prudently. However, this size tractor is the lightest which can utilize this clamp-on bucket attachment.
A Middle Buster is often co-opted for tree planting. Mount on the Three Point Hitch, cut in an 'X' pattern and shovel out the loosened spoil with a spade.
VIDEO:
using a middle buster - YouTube
BUCKET SPADE LINK:
Tractor and Skidsteer bucket spade shovel
For mowing lawn around your house, use what you have now if lawn expanse is one acre or less.
The average residential tractor is used 80 hours per year, mostly for mowing and landscaping.
How much time do you estimate you will use a $7,000 Backhoe, which has to be removed to access the Three Point Hitch?
Nothing on your list requires a $7,000 Backhoe.
Take that $7,000 and consider moving up to a HEAVY, de Luxe Kubota 'Grand L' tractor, like the L3560. (The Lexus of tractors.)
KUBOTA L3560 LINK:
http://www.kubota.com/product/Grand L Series/L60.aspx