Explanation
A Lookup Filter is the recommended method to meet the requirement of preventing service agents from selecting entitlements that are not associated with the account assigned on the case. A Lookup Filter is a type of filter that restricts the values and records that are available in a lookup field based on criteria and conditions. A Lookup Filter can be used to limit the entitlements that are available in the Entitlement Name lookup field on the case page layout based on the Account Name field value. This way, service agents can only select entitlements that belong to the same account as the case. Verified References: Service Cloud Consultant Certification Guide & Tips, Define Lookup Filters

Explanation
Field Service Inventory is a feature that can help minimize the number of rescheduled appointments by ensuring technicians have the required products to complete repairs. Field Service Inventory allows administrators to track and manage the inventory of products that technicians need to perform their work, such as parts, tools, or consumables. Field Service Inventory can help assign products to technicians based on their skills, location, and availability, as well as replenish products from warehouses or suppliers. Verified References: : https://help.salesforce.com/s/articleView?id=sf.field_service_inventory_overview.htm&type=5 :
https://help.salesforce.com/s/articleView?id=sf.field_service_inventory_setup.htm&type=5

Explanation
These are two deployment solutions that the consultant should use to ensure skills-based routing is operational in Production. Change Sets are tools that allow administrators to deploy changes from one Salesforce org to another, such as custom objects, fields, workflows, or profiles. Change Sets can be used to deploy the configuration changes related to skills-based routing, such as service channels, routing configurations, or routing rules. Data Loader is a tool that allows administrators to import or export data from Salesforce, such as records, attachments, or documents. Data Loader can be used to migrate the data related to skills-based routing, such as skills, skill assignments, or queues. Verified References: :
https://help.salesforce.com/s/articleView?id=sf.changesets.htm&type=5 :
https://help.salesforce.com/s/articleView?id=sf.data_loader.htm&type=5