A few places I would recommend lubricating with lithium grease, or an industrial spray lubricant (preferably that contains
TEFLON {aka
PTFB}) would be to open & spray a lubricant/water dispersant on the
junction box between #10 & #11 (bowden cables)...this is the connection between the hood release lever inside the vehicle as it snakes its way into the engine bay area to release the locks/latches for the hood.
Tip: btw...my junction box doesn't really look like the rectangular box in the illustration...it is much narrower & longer...but you can identify it by the bowden cable coming thru the firewall into this long thin box on the left fender, that has another bowden cable that snakes around to the left hood lock/latch.
This would not only lubricate & prevent corrosion in this area...but may also prevent any water from freezing in this area preventing the hood from opening.
I would also spray (lubricate) the openings in the locks/latches (#13) on each side...again, they have bowden cables (
#11 & #12) that could benefit from the TEFLON & water dispersing agent of the spray to prevent freezing & prevent corrosion (there's one on each side of the bay). Then I'd used lithium grease (or other lubricant) on the upper spring portion (
#14) of the lock/latch.
And finally, don't forget to spray the hood catch (
#18) with your lubricant that contains TEFLON so that the parts that rub together don't bind.

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DuPont™ Teflon® Silicone Lubricant
A clean, light-duty product, DuPont™ Teflon® Silicone Lubricant is excellent for non-metal materials that may be damaged by conventional lubricants. It helps prevent sticking, binding and freezing.
- Helps clean; odorless
- Waterproofs, protects, lubricates and preserves
- For use on rubber, plastic, vinyl, leather, metal and wood
- Eliminates squeaking and binding in windows, hinges, locks, etc.
- Helps prevent rust, oxidation and corrosion on all metals
- Protects fishing gear, tools and farm equipment from salt, chlorine and corrosives
- Helps prevent snow sticking and muddy buildups on shovels, snowblowers, wheel wells, etc.
- NSF H-2 Listed
- Can withstand temperatures from -40°F (-40°C) up to 400°F (204°C).

__ _ _ _ _ _ _ _ _

Applications:
- Hinges
- Locks
- Latches
- Springs
- Plastic gears
- Rollers, drawer guides and other sliding parts
- Conveyors
- Assemblies
- Heat sealers
- Cutting tables
- Slicing equipment
- Tools
- Dies
- Tuners
- Switches
- Fan belts
- Rubber moldings
- Waterproofs leather and protects vinyl
The above lubricant is just an example of a product to consider having in your garage for use around your home & cars etc. The lubricants that I use (and have mentioned before) for an annual winter maintenance to lubricate gaskets, locks, latches, hinges, etc are Silcone spray & Tri-Flow: