Interesting you want to use Romans 2, but not Romans 3. Some might view that as proof-texting on your part.
I would propose you have to read Romans 2 in light of Romans 3 since that is the further expansion of Paul's argument about justification.
Romans 3
20 For by works of the law no human being will be justified in his sight, since through the law comes knowledge of sin. 21 But now the righteousness of God has been manifested apart from the law, although the Law and the Prophets bear witness to it 22 the righteousness of God through faith in Jesus Christ for all who believe. For there is no distinction: 23 for all have sinned and fall short of the glory of God, 24 and are justified by his grace as a gift, through the redemption that is in Christ Jesus, 25 whom God put forward as a propitiation by his blood, to be received by faith. This was to show God's righteousness, because in his divine forbearance he had passed over former sins...
I could keep going, but I think the point is clear. Justification is not and will not be based on our works and Paul is not claiming we will receive restitution for anything we've done. What we've done will always be insufficient.
So when we look at Romans 2, in light of Romans 3 (and so forth), I think it becomes more clear, that what he means is:
Romans 2:8 "those who are self-seeking and do not obey the truth, but obey unrighteousness, there will be wrath and fury." - Equates to those who think they should be rewarded based on their "good" works.
Romans 2:7 "those who by patience in well-doing seek for glory and honor and immortality, he will give eternal life" - equates to those who realize that their justification is in Christ alone and that through that justification, they can actually pursue the works of God (sanctification) and become more Christlike (theosis).
I would propose you have to read Romans 2 in light of Romans 3 since that is the further expansion of Paul's argument about justification.
Romans 3
20 For by works of the law no human being will be justified in his sight, since through the law comes knowledge of sin. 21 But now the righteousness of God has been manifested apart from the law, although the Law and the Prophets bear witness to it 22 the righteousness of God through faith in Jesus Christ for all who believe. For there is no distinction: 23 for all have sinned and fall short of the glory of God, 24 and are justified by his grace as a gift, through the redemption that is in Christ Jesus, 25 whom God put forward as a propitiation by his blood, to be received by faith. This was to show God's righteousness, because in his divine forbearance he had passed over former sins...
I could keep going, but I think the point is clear. Justification is not and will not be based on our works and Paul is not claiming we will receive restitution for anything we've done. What we've done will always be insufficient.
So when we look at Romans 2, in light of Romans 3 (and so forth), I think it becomes more clear, that what he means is:
Romans 2:8 "those who are self-seeking and do not obey the truth, but obey unrighteousness, there will be wrath and fury." - Equates to those who think they should be rewarded based on their "good" works.
Romans 2:7 "those who by patience in well-doing seek for glory and honor and immortality, he will give eternal life" - equates to those who realize that their justification is in Christ alone and that through that justification, they can actually pursue the works of God (sanctification) and become more Christlike (theosis).