Based on the scenario described, Jerry should be charged with the following crimes:
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Aggravated Battery (b) - This charge is appropriate because Jerry physically harmed Tom by pushing him, which resulted in serious injuries (a broken hip and tibia). Aggravated battery typically involves causing serious bodily injury to another person.
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Especially Aggravated Burglary (a) - This charge may apply if Jerry unlawfully entered Tom's home with the intent to commit theft and caused injury to another person (Tom) during the commission of the burglary. Especially aggravated burglary often involves the presence of a victim who is injured.
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Robbery (f) - If Jerry's actions involved taking the jewels directly from Tom while he was present and using force or intimidation in the process, then robbery could also be charged. However, if he took the jewels without directly confronting Tom (such as while he was sleeping), then aggravated burglary would be more relevant.
To summarize, the most appropriate charges based on the scenario are Aggravated Battery and Especially Aggravated Burglary. Robbery could also be a possibility depending on the specifics of how he took the jewels concerning Tom. The other options (Motor Vehicle Theft, Petty Larceny, and Aggravated Assault) do not align with the facts of this case.