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Looking this over:

the R2 L2 and L1 interfaces reside on 192.168.3.2 and 2.2/24

Down the line in the BGP configuration though the commands 
R4(config)#ip prefix-list AS65001-in seq 20 permit 192.168.3.0/24
R4(config)#ip prefix-list AS65001-in seq 30 permit 192.168.2.0/23

and

R5(config)#ip prefix-list AS65001-in seq 20 permit 192.168.2.0/24
R5(config)#ip prefix-list AS65001-in seq 30 permit 192.168.2.0/23 

are suggested. 

Issue that I see is there are no /23 or subnet masks of 255.255.253.0 used 

This will give bad config when implemented. Its doable but will give the wrong information in the show commands.

Please correct me if I am wrong.

You are right that the individual loopbacks are /24 networks, but the task 3 specifically says R6 is receiving a summary address for both loopbacks of R2. The summary for 192.168.2.0/24 and 192.168.3.0/24 is 192.168.2.0/23.

So the prefix-list entry permit 192.168.2.0/23 is correct because the ISP is advertising that summary route. It does not mean the physical loopback interfaces are configured as /23, it means the BGP route being matched is the summarized prefix.