with regret (prep + noun)
It was also with deep regret that we noted the damage of/to your checked-in (?) baggage upon arrival in Hong Kong
I am regretful that we note the damage of your checked baggage upon arrival in Hong Kong
Better: (almost a set phrase)
We/ I regretfully (adverb) noted the damage to your...
I regretted that we note the damage of your checked baggage upon arrival in Hong Kong
better yet : (you will have to make up your mind whether it's "I" or "we" as the subjects should agree)
We deeply regret the damage to....
All of these sentences convey exactly the same meaning.
with hope (noun)
We are hopeful that the restrictions will be lifted over the next few weeks.
We hope that the restrictions will be lifted over the next few weeks.
Both sentences mean exactly the same.
hope this helps.
- For Teachers