Learn Russian: Известная царица носила этот старинный браслет каждый день. - The famous empress wore this antique bracelet every day.

You would use the possessive adjective царицын. Because the noun царица ends in -ца, the suffix becomes -ын instead of -ин. To say she wore 'the empress's bracelet', you would use царицын браслет. Since браслет is a masculine inanimate noun, the accusative form of this mixed-declension adjective is identical to its nominative form.

Is the verb носила related to the verb of motion for 'carrying'?

Yes! The verb носить (the multidirectional verb for 'to carry on foot') is also the standard Russian verb for wearing clothes, accessories, or jewelry. You can think of wearing an antique bracelet as 'carrying' it on your wrist.

Why do we use the imperfective verb носила in this sentence?

The trigger here is the time expression каждый день (every day). Because wearing the bracelet was a repeated, habitual action in the past, Russian grammar requires you to use the imperfective aspect.

What is the difference between старинный and старый?

While старый simply means 'old' (and can sometimes imply being worn out or useless), старинный specifically means 'antique' or 'from olden times'. It carries a sense of historical value or heritage, which perfectly describes the jewelry of an empress.