Dear Student,
Problem 1:- you can see below-attached image where a 6 steps synthetic plan has been written, all these compounds can be characterised by 1H NMR, 13C NMR and IR. and can be purified by the column chromatography. all compounds are UV active so you can easily detect the reaction completion with the help of Thin layer chromatography.

part A:- this target molecule can synthesis by esterification of the corresponding acid, and that acid can synthesis by oxidation of alcohol in presence of KMnO4, That corresponding alcohol we can get by deprotection reaction in presence of BBr3, methoxy protected compound we can get by the alkylation reaction in presence of benzene. and the first step of this synthesis we can get by the Diels-alder reaction. all the retrosynthesis plan you can see in the below given Image.

part B:- this is forward synthesis plan for the synthesis of the target molecule, where started from diene reacted with a dienophile gives us diels alder adduct that adduct where protected with methyl iodide, and the protected compound where treated as Grignard fashion and attached on benzyne to get the core structure of target molecules. that compound were treated with BBr3 to deprotect and then oxidation follows by esterification gives us target molecule.

Thank you
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