Hello,
your configuration looks like correct to achieve the desired behaviour.
only note that if CE1 and CE2 should be iBGP CE2 should use the same AS number as declared in CE1 router bgp 10.
The key point is to avoid to configure default-originate under the neighbor.
See the following notes from command reference:
Usage Guidelines
The default-information originate command is used to configure a BGP routing process to advertise a default route (network 0.0.0.0). A redistribution statement must also be configured to complete this configuration or the default route will not be advertised.
The configuration of the default-information originate command in BGP is similar to the configuration of the network (BGP) command. The default-information originate command, however, requires explicit redistribution of the route 0.0.0.0. The network command requires only that the route 0.0.0.0 is present in the Interior Gateway Protocol (IGP) routing table. For this reason, the network command is preferred.
Note 
The default-information originate command should not be configured with the neighbor default-originate command on the same router. You should configure one or the other.
see on
https://www.cisco.com/c/en/us/td/docs/ios/iproute_bgp/command/reference/irg_book/irg_bgp2.html
The redistribution of the static route is needed ,an alternate configuration would be the use of network 0.0.0.0 instead of redistribution + default-information originate under route bgp process.
Hope to help
Giuseppe
