Learning BGP

Hello I am learning BGP, to make sure I can understand how BGP is configured in real world. I have few questions to start with

1. Can BGP advertise routes that are learned exclusively through IGP like redistribution from ospf or eigrp , without network statements or aggregate network address under router BGP ? with auto summary disabled ?
2. Can BGP learn routes through local routing table on router without manually redistributing.
3. On sh ip BGP output

What is the difference between the routes * i , *>i

is *>i when we specifically configure valid internal route with AS number details using additional command "as set "?

say we configured network 10.2.0.0/16 as *i on "router A" , which has BGP peer " router B". on router A - sh ip bgp output , there is no AS path information next to network 10.2.0.0/16.

When this network 10.2.0.0/16 is learnt on Router B, dont by default *i routes gets advertised to neighbor Router B and then propagate the network statement along with AS number as *> on the neighbor Router B sh IP bgp routing table ?

Below is a general question

Those who work for ISP and in general what is the most common issue you see on a BGP networks ? what basic troubleshoot steps you do, with the knowledge of ccna and CCNP. I am only asking the most basic ones (not how you design BGP, which i will not understand at this stage), since I might use those steps to properly understand my upcoming lab comparing them to real time scenario and build my concepts.