As you all know, Liza has 20 points and is tied with Rika. Rika however, has the better SP scores, therefore she sits on 4 and Liza on 5.
At the NHK event, 5 more girls can get up to 20 or higher. The skaters are,
Courtney Hicks
Mao Asada
Ashley Wagner
Anna Pogorilaya
Satoko Miyahara
Mao and Ashley only need to come 6th, in order to qualify. They would then have 20 points as well, but due their first placement at a GP event, the better tie breaker. In this case. Rika Hongo and Liza would both go to Barcelona, as Rika is 6th and Liza 7th. Liza would be allowed to join, due the new ISU announcement in which the 7th skater, if he or she / they was at TEB will not be a sub, but a competitor. Unfortunately, do we have three more ladies that can ruin the day for Liza.
Courtney:
She can only qualify, if she wins NHK. In that case she would have 20 points in total, but the better tie breaker over Rika (first vs. second place as the best result in the GP series). Rika & Liza would be out, only 6 girls go to Barcelona.
Anna:
She can only qualify, if she wins NHK or comes second. In both cases she would have more than 20 points in total (24, 22). By coming third, she would have 20, but lose in a tie breaker to Rika, as Rika came second at CoC, while Anna only 4th.
Satoko:
She can only qualify, if she wins NHK or comes second or third, while Anna does not win the competition or comes second in case Satoko is third. A victory would give her 26, a second place 24 and a third 22. These 22 however, can be beaten by Anna as mentioned. If Anna wins, her better placement would eliminate Satoko even if she comes second.
As it stands, Liza seems to be way off from a qualification, but someone can still hope right?